362643 has 8 divisors (see below), whose sum is σ = 488400. Its totient is φ = 239328.

The previous prime is 362633. The next prime is 362657. The reversal of 362643 is 346263.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 362643 - 2¹³ = 354451 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

362643 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362643.

It is not an unprimeable number, because it can be changed into a prime (362633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (61050).

2³⁶²⁶⁴³ is an apocalyptic number.

362643 is a deficient number, since it is larger than the sum of its proper divisors (125757).

362643 is a wasteful number, since it uses less digits than its factorization.

362643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221.

The product of its digits is 2592, while the sum is 24.

The square root of 362643 is about 602.1984722664. The cubic root of 362643 is about 71.3115319484.

The spelling of 362643 in words is "three hundred sixty-two thousand, six hundred forty-three".